KI-net Publications

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Shi Jin and Qin Li A BGK-penalization asymptotic-preserving scheme for the multispecies Boltzmann equation Preprint - 2011
Bokai Yan and Shi Jin A successive penalty-based asymptotic-preserving scheme for kinetic equations Preprint - 2011
Christiane Helzel, Felix Otto and Athanasios Tzavaras A kinetic model for the sedimentation of rod-like particles Preprint - 2011
Shi Jin and Li Wang An asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system in the high field regime Submitted - 2011
Hailiang Liu and Jaemin Shin Global well-posedness for the microscopic FENE model with a sharp boundary condition Journal of Diff. Equations (2011).
Hailiang Liu and Jaemin Shin The Cauchy-Dirichlet problem for the FENE dumbbell model of polymeric fluids Submitted - SIMA 2011
Hailiang Liu, Olof Runborg and Nicolay Tanushev Error estimates for Gaussian beam superpositions Math Comp. (2011).
Hao Wu Domain and Subband decomposition approach for 2D simulation of quantum transport phenomena Preprint - 2011
P. Degond, H. Liu, D. Savelief and M-H. Vignal Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit J Sci Comput (2011).
Chanwoo Kim Boltzmann Equation with a Large Potential in a Periodic Box Submitted - 2011
Thierry Goudon, Shi Jin and Bokai Yan Simulation of Fluid–Particles Flows: Heavy Particles, Flowing Regime and Asymptotic-Preserving Schemes Submitted - 2011
Sebastien Motsch and Eitan Tadmor A new model for self-organized dynamics and its flocking behavior Journal of Statistical Physics (2011).
Alexey Miroshnikov and Athanasios Tzavaras A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians Communications Mathematical Sciences (2011).
Shi Jin Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review Lecture Notes for Summer School on ''Methods and Models of Kinetic Theory (2011).
Thodoros Katsaounis and Athanasios Tzavaras Localization and shear bands in high strain-rate plasticity In Nonlinear Conservation Laws and Applications 153 (2011) 365-378.
Shi Jin, Jian-guo Liu and Li Wang A Domain Decomposition Method for Semilinear Hyperbolic Systems with Two-scale Relaxations Submitted - 2011
Shi Jin and Peng Qi A Hybrid Schrodinger/Gaussian Beam Solver for Quantum Barriers and Surface Hopping Submitted - 2011
Shi Jin and Dongming Wei A novel numerical method for the semiclassical limit of the Schrodinger equation and the Vlasov-Poission equations Submitted - 2011
Jingwei Hu, Shi Jin and Bokai Yan A numerical scheme for the quantum Fokker-Planck-Landau equation efficient in the fluid regime Submitted - 2011
Hailiang Liu and Hui Yu An entropy satisfying finite volume method for the Fokker-Planck equatoin of FENE dumbbell model Submitted - SINUM 2011
Thierry Goudon, Shi Jin, Jian-Guo Liu and Bokai Yan Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows Submitted - 2011
Alexey Miroshnikov and Athanasios Tzavaras Convergence of variational approximation schemes for three dimensional elastodynamics with polyconvex energy Submitted - J. Differential Equations 2011
Darryl D Holm and Cesare Tronci Euler-Poincare formulation of hybrid plasma models Submitted - Communications in Mathematical Sciences 2011
Shi Jin, Peter Markowich and Christof Sparber Mathematical and computational methods for semiclassical Schrodinger equations Submitted - Acta Numerica 2011
Yan Guo The Vlasov-Poisson-Landau System in a Periodic Box Preprint - 2011
Shi Jin and Bokai Yan A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation Preprint - 2010
S. Gottlich, M. Herty, C. Ringhofer and U. Ziegler Production Systems with Limited Repair Capacity Submitted - Optimization 2010
Hailiang Liu, Olof Runborg and Nicolay M. Tanushev Error estaimtes for Gaussian beam superpositions Submitted - Math Comp. 2010
Cesare Tronci Hamiltonian approach to hybrid plasma models Journal of Physics A: Mathematical and Theoretical 43 (2010) 375501.
Clemens Heitzinger and Christian Ringhofer A transport equation for confined structures derived from the Boltzmann equation Submitted - Communications in Mathematical Sciences 2010
Cory Hauck High-order entropy-based closures for linear transport in slab geometry Submitted - 2010
Clemens Heitzinger and Christian Ringhofer Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors Submitted - SIAM J. Appl. Math. 2010
Jingwei Hu and Shi Jin On Kinetic Flux Vector Splitting Schemes for Quantum Euler Equations Submitted - 2010
Naoufel Ben Abdallah and Hao Wu A generalized stationary algorithm for resonant tunneling: multi-mode approximation and high dimension Preprint - 2010
Dongming Wei, Shi Jin, Richard Tsai and Xu Yang A level set method for the semiclassical limit of the Schrodinger equation with discontinuous potentials Preprint - 2010
Francis Filbet, Jingwei Hu and Shi Jin A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime Preprint - 2010
Jeffrey Haack, Shi Jin and Jian-Guo Liu An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations Preprint - 2010
Francis Filbet and Shi Jin An asmptotic preserving scheme for the ES-BGK model of the Boltzmann equation Preprint - 2010
Shi Jin and Dongsheng Yin Computational High Frequency Wave Diffraction by a Corner via the Liouville equation and Geometric Theory of Diffraction Preprint - 2010
Chanwoo Kim Formation and Propagation of Discontinuity for Boltzmann Equation in Non-Convex Domains Preprint - 2010
Yan Guo and Benoit Pausader Global smooth Ion dynamics in the Euler-Poisson system Preprint - 2010
Hao Wu High order scheme for Schrodinger equation with discontinuous potential I: immersed interfaced method Preprint - 2010
Bin Cheng Low-Mach-number Euler equations with solid-wall boundary condition and general initial data Preprint - 2010
Yan Guo and Robert Strain Momentum Regularity And Stability Of The Relativistic Vlasov-Maxwell-Boltzmann System Preprint - 2010
Ning Jiang and C. David Levermore Global existence and regularity of the weakly compressible Navier-Stokes system Submitted - Asymptotic Analysis 2009
Ryan G. McClarren and Cory D. Hauck Robust and Accurate Filtered Spherical Harmonics Expansions for Radiative Transfer Submitted - 2009
Juhi Jang and Ning Jiang Acoustic limit of the Boltzmann equation: classical solutions Submitted - Discrete and Continuous Dynamical Systems - Series A 2009
C. David Levermore and Weiran Sun Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels Submitted - 2009
R. Alonso and I.M.Gamba Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section Submitted - 2009
A. Unver and C. Ringhofer Estimation of Transport Coefficients in Re-entrant Factory Models Submitted - International Journal of Production Research 2009
Ricardo J. Alonso Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data Submitted - Indiana Univ. Math. Journal 2009
C. David Levermore, Weiran Sun and Konstantina Trivisa Local well-posedness of a ghost effect system Submitted - 2009
Cory D. Hauck and Ryan G. McClarren Positive P_N closure Submitted - 2009
Ning Jiang, C. David Levermore and Nader Masmoudi Remarks on the Acoustic Limit for the Boltzmann Equation Submitted - Communications in Partial Differential Equations 2009
Kenneth H. Karlsen and Suleyman Ulusoy Stability of entropy solutions for Levy mixed hyperbolic-parabolic equations Submitted - Journal of Differential Equations 2009
C. Ringhofer Sub-band diffusion models for quantum transport in a strong force regime Submitted - SIAM J. Appl. Math. 2009
Ning Jiang and C. David Levermore Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy Submitted - Archive of Rational Mechanics and Analysis 2009
Francis Filbet and Shi Jin A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources Preprint - 2009
Hao Wu and Xu Yang A Hybrid Phase-Flow Method for solving the Liouville Equation in Bounded Domain Preprint - 2009
Shi Jin and Yingzhe Shi A micro-macro decomposition based asymptotic-preserving scheme for the multispecies Boltzmann equation. Preprint - 2009
Shi Jin, Hao Wu and Xu Yang A numerical study of the Gaussian beam methods for one-dimensional SchrÄodinger-Poisson equations Preprint - 2009
R. Belaouar, N. Crouseilles, P. Degond and E. Sonnendr¨ucker An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit Preprint - 2009
Shi Jin, Peng Qi and Zhiwen Zhang An Eulerian surface hopping method for the Schr¨odinger equation with conical crossings Preprint - 2009
Pierre Degond, Fabrice Deluzet, Laurent Navoret, An-Bang Sun and Marie- H´el`ene Vignal Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineu- trality Preprint - 2009
R. Alonso, E. Carneiro and I.M.Gamba Convolution inequalities for the Boltzmann collision operator Preprint - 2009
Pierre Degond and Hailiang Liu Kinetic models for polymers with inertial effects Preprint - 2009
C. David Levermore and W. Sun Local well-posedness of a dispersive Navier-Stokes system Preprint - 2009
Shi Jin, Hao Wu and Xu Yang Semi-Eulerian and High Order Gaussian Beam Methods for the Schr¨odinger Equation in the Semiclassical Regime Preprint - 2009
Jeffrey R. Haack and Cory D. Hauck Oscillatory behavior of asymptotic-preserving splitting Methods for a linear model of diffusive Kinetic and Related Models 1 (2008) 573–590.
Pierre Degond, Simone Goettlich, Axel Klar, M. Seaid and Andreas Unterreiter Derivation of a kinetic model from a stochastic particle system Kinetid and Related Models (2008).
Shi Jin, Hao Wu and Zhongyi Huang A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians SIAM Journal on Scientific Computing 2 (2008) 1303-1321.
Shi Jin, Hao Wu and Xu Yang Gaussian Beam Methods for the Schrodinger Equation in the Semi-classical Regime: Lagrangian and Eulerian Formulations Submitted - 2008
Seung-Yeal Ha and Eitan Tadmor From particle to kinetic and hydrodynamic descriptions of flocking Kinetic and Related Models 1(3) (2008) 415–435.
Pierre Degond and Sebastien Motsch Continuum limit of self-driven particles with orientation interaction Mathematical Models and Methods in Applied Sciences 18 (2008) 1193–1215.
Hantaek Bae Global well-posedness of dissipative quasi-geostrophic equations in the critical spaces Procedeedings of AMS 136(1) (2008) 257–261.
Pierre Degond and Sebastien Motsch Large Scale Dynamics of the Persistent Turning Walker Model of Fish Behavior J Stat Phys 131 (2008) 989–1021.
Suleyman Ulusoy On a New Family of Degenerate Parabolic Equations Applied Mathematics Research eXpress 2008 (2008).
Hailiang Liu and Christof Sparber Rigorous derivation of the hydrodynamical equations for rotating superfluids Mathematical Models and Methods in Applied Sciences 18 (5) (2008) 689–706.
Hailiang Liu and Zhongming Wang A Bloch Band Based Level Set Method for Computing the Semiclassical Limit of Schr Submitted - Journal of Computational Physics 2008
C. Ringhofer A Level Set Approach to Modeling General Service Rules in Supply Chains Submitted - Communications in Mathematical Sciences 2008
Pierre Degond, Fabrice Deluzet, Afeintou Sangam and Marie-Hélène Vignal An Asymptotic Preserving Scheme for the Euler equations in a strong magnetic field Submitted - 2008
Dionisios Margetis and Athanasios E. Tzavaras Kinetic hierarchies and macroscopic limits for crystalline steps in 1+1 dimensions Submitted - Multiscale Modeling Simulation 2008
R. Alonso and I.M.Gamba Propagation of L¹ and L^∞ Maxwellian weighted bounds for derivatives of solutions to homogeneous elastic Boltzmann equation Submitted - JMPA 2008
Hantaek Bae Remark on the blow up conditions to the incompressible viscoelastic fluid system Submitted - Czechoslovak Mathematical Journal 2008
Irene M. Gamba and Sri Harsha Tharkabhushanam Spectral - Lagrangian methods for Collisional Models of Non - Equilibrium Statistical States Submitted - 2008
Irene M. Gamba, V. Panferov and C. Villani Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation Submitted - Archive Rat. Mech. Anal. 2008
Shi Jin and Kyle A. Novak A Coherent Semiclassical Transport Model for Pure-state Quantum Scattering Preprint - 2008
Ali Unver, Christian Ringhofer and Dieter Armbruster A hyperbolic relaxation model for product flow in complex production networks Preprint - 2008
Shi Jin, Hao Wu, Xu Yang and Zhongyi Huang Bloch Decomposition-Based Gaussian Beam Method for the SchrÄodinger equation with Periodic Potentials Preprint - 2008
Michael La Marca, Dieter Armbruster, Michael Herty and Christian Ringhofer Control of continuum models of production systems Preprint - 2008
Wilfrid Gangbo, Hwa Kil Kim and Tommaso Pacini Differential Forms on Wasserstein Space and Infinite-dimensional Hamiltonian Systems Preprint - 2008
Yu-Lin Lin Existence and uniqueness of the Hele-Shaw problem with injection Preprint - 2008
Florent Berthelin, Athanasios Tzavara and Alexis Vasseur From discrete velocity Boltzmann equations to gas dynamics before shocks Preprint - 2008
Hantaek Bae Global Well-posedness of the Free Boundary Value Problem of the Incompressible Navier-Stokes Equations With Surface Tension Preprint - 2008
Yu-Lin Lin Large-time rescaling behaviors for large data to the Hele-Shaw problem Preprint - 2008
Yu-Lin Lin Large-time rescaling behaviors of some rational type solutions to the Polubarinova-Galin equation with injection Preprint - 2008
S. Goettlich, M. Herty and C. Ringhofer Optimization of order policies in supply networks Preprint - 2008
Eric A. Carlen and Süleyman Ulusoy Asymptotic equipartition and long time behavior of solutions of a thin-film equation Journal of Differential Equations 241 (2007) 279–292.
Suleyman Ulusoy A new family of higher order nonlinear degenerate parabolic equations Nonlinearity 20 (2007) 685–712.
Eric A. Carlen and Suleyman Ulusoy An entropy dissipation - entropy estimate for a thin film type equation Communications in Mathematical Sciences 3 (2005) 171-178.

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KI-net Publications

KI-net Publications

A collection of selected references